Question

Based on the given information in the figure at the right, how can you justify that triangle ABC is congruent to triangle CDA?

Answer 1

Answer:- D) SAS is the right answer.

Explanation:-

Given : Two triangles ΔABC and ΔCDA in which BC=AD

∠DAC=∠ACD

To prove:- ΔABC ≅ ΔCDA

Proof:-In ΔABC and ΔCDA

BC=AD [given]

∠DAC=∠ACD [given]

AC=AC [common]

⇒ΔABC ≅ ΔCDA by SAS postulate

• SAS (Side-Angle-Side) postulate states that if two angles and its included side of a triangle is equal to the two angles and its included side of the other triangle, then the triangles is said to be congruent.

Answer 2

D. Side, Angle, Side (SAS)